# How do you FOIL  (2x + 3) (x-2)?

Mar 23, 2018

#### Answer:

$2 {x}^{2} - x - 6$

#### Explanation:

The operation is called distribution, the acrynom to remember how to multiply 2 binomials is FOIL.

It's important to understand that 'foiling' something is a misnomer and should only be used as a guide for how to perform the operation.

Recall, FOIL stands for First - Outer - Inner - Last.

Begin by multiplying the first 2 terms. $2 x \cdot x = 2 {x}^{2}$

Then, multiply the outer terms. $2 x \cdot - 2 = - 4 x$ (Don't forget to take the negative that is attached to the 2).

Multiply the inner terms. $3 \cdot x = 3 x$

Lastly, multiply the last terms. $3 \cdot - 2 = - 6$

Then, write them all out in the order that you performed the operations.

$2 {x}^{2} - 4 x + 3 x - 6$

Then, combine like terms.

$2 {x}^{2} - x - 6$